Tauberian Theorems for the Product of Weighted and Cesaro Summability Methods for Double Sequences

被引：0
|
作者：
Findik, Goksen [1 ]
Canak, Ibrahim [1 ]
机构：
[1] Ege Univ, Dept Math, Bornova, Turkey
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2020年 / 38卷 / 07期
关键词：
Tauberian theorems; Double sequences; Cesaro means; Weighted means; Convergence in Pringsheim's sense; Weighted-Cesaro summability;
D O I：
10.5269/bspm.v38i7.44135
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain necessary and sufficient conditions, under which convergence of a double sequence in Pringsheim's sense follows from its weighted-Cesaro summability. These Tauberian conditions are one-sided or two-sided if it is a sequence of real or complex numbers, respectively.
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页码：9 / 19
页数：11
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